Cores of Ariki-Koike algebras

2019/12/17 by Nicolas Jacon, Jacon, Nicolas, Cédric Lecouvey +1 · 1 citation
Computer Science · Mathematics · #Advanced Algebra and Geometry #Advanced Algebra and Logic #Advanced Combinatorial Mathematics #Advanced Mathematical Identities #Algebraic structures and combinatorial models #Combinatorics (math.CO) #FOS: Mathematics #Representation Theory (math.RT)

paper · pdf · doi:10.48550/arxiv.1912.08461

openalex publication_date 2019/12/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We study a natural generalization of the notion of cores for l-partitions attached with a multi-charge s ∈ Z^l : the (e, s)-cores. We rely them both to the combinatorics and the notion of weight defined by Fayers. Next we study applications in the context of the block theory for Ariki-Koike algebras.

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